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3 years ago

Re-write the expression as a product with the greatest common factor. (54 +99)

1 answer:

algol133 years ago

5 0

Find the prime factorization of 54
54 = 2 × 3 × 3 × 3
Find the prime factorization of 99
99 = 3 × 3 × 11
To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3
GCF = 9

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If a woman making $25 an hour gets a 10% raise, how much will she now make in a 8 hour work day?

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In an 8 hour work day she will earn $220
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4 years ago

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Kayla needs $14,000 worth of new equipment for his shop. He can borrow this money at a discount rate of 10% for a year.

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Answer:

$15400

Step-by-step explanation:

Principle amount, P = $14000

Time, T = 1 year

Rate of interest, R = 10%

We know that maturity amount,

$A = P\left (1+\frac{R}{100} \right )^{n}$

where n is number of years

$A = P\left (1+\frac{R}{100} \right )^{n}$

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3 years ago

Four posters cost $19.20. How many posters can you buy for $48.00?

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You can buy 8 posters with 48.00 19.20x2=38.40 the leftover change isn’t enough to buy more

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3 years ago

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

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3 years ago

The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.2. Which inequali

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